A Tropical Approach to Homological Mirror Symmetry of Quadrics

Explore a tropical geometry approach to homological mirror symmetry of quadrics in this lecture by Gabriel Kerr from Kansas State University. Delve into the history of mirror potential descriptions for quadrics, from Hori and Vafa to more recent works. Examine a novel method using a different anti-canonical divisor and tropical geometry. Investigate the connection between Kapranov's exceptional collection of sheaves and the potential's natural exceptional collection. Focus on the two-dimensional quadric case, highlighting its unique characteristics compared to toric examples. Gain insights into this collaborative research with Reginald Anderson and Yijia Liu, covering topics such as geometric construction, quadric construction, general principles, torus charts, and FQ.